# Sketch the curve with the given polar equation...?

## I recognize it as a rose curve, but I don't know how to do it the way the question's asking.

May 21, 2018

(see explanation)

...does anyone know how to format a table in Socratic LaTeX?

#### Explanation:

The period of $2 + \setminus \sin \setminus \textcolor{red}{3} \setminus \theta$ is $2 \setminus \pi \setminus \div \setminus \textcolor{red}{3} = \frac{2 \setminus \pi}{3}$. At $\setminus \frac{\pi}{6} n$ the graph reaches its highest points, the amplitude of 2 (which is 3 due to the graph being shifted upwards).

From a table of $\setminus \theta$ with intervals of $\setminus \frac{\pi}{6}$, calculating $r$:

Cartesian
Polar